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Finding the Fourth Proportional to 1,075.48, 1,484.58 and 682.84

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Solution

The fourth proportional to 1,075.48, 1,484.58 and 682.84 is: 942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.48 : 1,484.58 = 682.84 : x
  2. Step 2: Convert to fraction form
    1,075.48/1,484.58 = 682.84/x
  3. Step 3: Cross multiply
    1,075.48x = 1,484.58 × 682.84
  4. Step 4: Simplify right side
    1,075.48x = 1,013,730.61
  5. Step 5: Solve for x
    x = 1,013,730.61/1,075.48
  6. Step 6: Final answer
    x = 942.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.